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Finding the Fourth Proportional to 482.96, 665.97 and 471.65

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Solution

The fourth proportional to 482.96, 665.97 and 471.65 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 665.97 = 471.65 : x
  2. Step 2: Convert to fraction form
    482.96/665.97 = 471.65/x
  3. Step 3: Cross multiply
    482.96x = 665.97 × 471.65
  4. Step 4: Simplify right side
    482.96x = 314,104.18
  5. Step 5: Solve for x
    x = 314,104.18/482.96
  6. Step 6: Final answer
    x = 650.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.